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Finding the Third Proportional to 23,226.75 and 52,471.13

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Solution

The third proportional to 23,226.75 and 52,471.13 is: 118,536.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,226.75 : 52,471.13 = 52,471.13 : x
  2. Step 2: Convert to fraction form
    23,226.75/52,471.13 = 52,471.13/x
  3. Step 3: Cross multiply
    23,226.75x = 52,471.13 × 52,471.13
  4. Step 4: Simplify right side
    23,226.75x = 2,753,218,958.77
  5. Step 5: Solve for x
    x = 2,753,218,958.77/23,226.75
  6. Step 6: Final answer
    x = 118,536.56

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.